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Finding the Fourth Proportional to 4,188, 6,284.88 and 1,452

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Solution

The fourth proportional to 4,188, 6,284.88 and 1,452 is: 2,179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188 : 6,284.88 = 1,452 : x
  2. Step 2: Convert to fraction form
    4,188/6,284.88 = 1,452/x
  3. Step 3: Cross multiply
    4,188x = 6,284.88 × 1,452
  4. Step 4: Simplify right side
    4,188x = 9,125,645.76
  5. Step 5: Solve for x
    x = 9,125,645.76/4,188
  6. Step 6: Final answer
    x = 2,179.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.